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Finding the Fourth Proportional to 15,982.60, 23,980.81 and 8,578.41

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Solution

The fourth proportional to 15,982.60, 23,980.81 and 8,578.41 is: 12,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.60 : 23,980.81 = 8,578.41 : x
  2. Step 2: Convert to fraction form
    15,982.60/23,980.81 = 8,578.41/x
  3. Step 3: Cross multiply
    15,982.60x = 23,980.81 × 8,578.41
  4. Step 4: Simplify right side
    15,982.60x = 205,717,125.02
  5. Step 5: Solve for x
    x = 205,717,125.02/15,982.60
  6. Step 6: Final answer
    x = 12,871.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.